论文标题

bps孤子带有内部结构在尺寸的$ o(3)$ sigma型号中

BPS solitons with internal structure in the gauged $O(3)$ sigma model

论文作者

Casana, Rodolfo, Santos, André C., Dias, M. L.

论文摘要

我们研究了具有内部结构的自偶像孤子的存在,该结构是在一个沉浸在由真实标量场产生的介电介质中(称为源场)的介电介质中的$ o(3)$ o(3)$ o(3)$ o(3)$ o(3)$ o(3)。我们考虑旋转对称的配置并应用{Bogomol'nyi-prasad-sommerfield}形式主义,以获得能量下限和相应的{一阶微分方程(或自偶联方程)。}通过求解此类方程式,通过对三种不同的介电介质进行求解,我们在不在内部结构中找到了相关的介质,而在不存在的情况下,我们会在不存在的情况下进行介绍,而不是在求解中的相关性。

We investigate the existence of self-dual solitons with internal structure in a gauged $O(3)$ nonlinear sigma model immersed in a dielectric medium generated by a real scalar field (dubbed the source field). We consider rotationally symmetric configurations and applying the {Bogomol'nyi-Prasad-Sommerfield} formalism to obtain the energy lower bound and the respective {first-order differential equations (or self-dual equations).} By solving such a system of equations for three different dielectric media, we find the internal structure generates relevant changes in the soliton profiles when compared with the ones obtained without the presence of the dielectric medium.

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